Value of x
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The area of one wall of the room is 72 square feet.

The area of a square is given by -

A{S} = a²

where -

{a} is side of square.

Given is a square room has a floor area of 144 square feet. The height of the room is 6 feet.

It is given that -

floor area = 144

a² = 144

a = √(144)

a = √(12 x 12)

a = 12

The area of the wall will be equivalent to -

A{W} = h x a

A{W} = 6 x 12

A{W} = 72 square feet.

Therefore, the area of one wall of the room is 72 square feet.

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The only measure of center that can be found for both quantitative and qualitative data is the mode.

Therefore, the only measure of center that can be found for both quantitative and qualitative data is the mode.

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The equation of the line shown in the diagram is y = 0.5x+0.5.

A line is a mark connecting two points.

To calculate the equation of the line, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the equation of the line shown in the diagram is y = 0.5x+0.5.

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Answer:

189

Step-by-step explanation:

The difference between consecutive terms of an arithmetic sequence, known as the common difference  is given by
d = a(k) - a(k-1) where k = 1,2,3 ....n

We have the 5th term as a(5) = 9

The 6th term is 9 + d

The 7th term is 9 + 2d

The 8th term is 9 + 3d

Each successive term adds a d to the previous term

We have 8th term = 27

So 9 + 3d = 27
3d = 27 - 9   (subtract 9 from both sides)

3d = 18  

Divide above by 3 on both sides to get

d = 18/3 = 6  

So the common difference is 6

Let's figure out how to calculate the 31st term

We can see that the 5th term can be expressed as
9 + 0d = 9 + 0.6 = 9

The sixth term is
9 + 1d = 9 + 1(6) = 9 + 6 = 15

The seventh term is 9 + 2d = 9 + 12 = 21 and so on

Therefore the general equation for the nth term, given the 5th term

is
a(n) = a(5) + (n - 5)(6) 9 + 6(n - 5)

So the 31st term is

a(31) = 9 + 6(31-1)  9 + 6 x  30 = 9 + 180 = 189

Answer: 31st term is 189

Distance ran by Jake in a day is  17.33 miles.

It is given in the question that Jake ran 121.3 miles in a week. Also, Jake ran an equal number of miles each day.

We have to find the distance ran by him in a day.

Let the distance ran by him in a day be x miles.

We know that there are 7 days in a week.

Hence, according to the data given in the question, we can write,

Number of days in a week * distance ran in a day = total distance

Hence,

7*x = 121.3 miles

Solving the linear equation, we get,

x = 121.3/7 miles

x = 17.3285 ≈ 17.33 miles

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We cannot write vertical lines in the format y = mx+b

This is because the slope of any vertical line is undefined.

The equation of this red line is x = 5. All points on this line have the same x coordinate of 5. Two such points being (5,0) and (5,1)

The range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

If we are given a mapping that represents a relation, the input values (x-values) make up the domain of the relation while the output values (y-values) make up the range of the relation.

In the mapping shown in the diagram attached below, we have the following:

The domain of the relation is: {-1, 0, 1, 2, 3}

The range of the relation is: {3, 5, 11, 21}

Thus, we can conclude that, the range of the relation that is represented in the mapping shown in the diagram attached below is: {3, 5, 11, 21}.

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Answer:

Step-by-step explanation:

The answer is 63

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The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.

We are given the equation of line as;

g(x) = 45 + 9x

Where;

x represents the number of hours studied.

g(x) represents the test score

Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values

At x = -10;

g(x) = 45 + 9(-10)

g(x) = -45

At x = -1;

g(x) = 45 + 9(-1)

g(x) = 35

At x = 0;

g(x) = 45 + 9(0)

g(x) = 45

At x = 1;

g(x) = 45 + 9(1)

g(x) = 54

At x = 2;

g(x) = 45 + 9(2)

g(x) = 63

At x = 3;

g(x) = 45 + 9(3)

g(x) = 72

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24 is the median number because it is found to be at the Middle of all digits

You will $0.29, if you will purchase 2 small bags of flour instead of 1 big bag.

For the given question;

The total cost of one big bag that is 10-lb bag of flour = $3.69.

Now, the cost of one small bag that is 5-lb = $1.55.

Thus, the cost for two small bag that is 5-lb = $3.10.

The difference in the cost = big bag cost - 2 small bag costs.

The difference in the cost = $3.69 - $3.10

The difference in the cost = $0.29.

Thus, you will save $0.29 for the purchase of 2 small bags of floor instead of one big bag.

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Answer:

8x + 3y = 369

10x + 10y = 780

Step-by-step explanation:

x = small bookshelves

y = large bookshelves

8x + 3y = 369

10x + 10y = 780

Answer:

$242.50

Step-by-step explanation:

The total of number of hours = 20

Hourly pay = 12.125

20*12.125

Total pay= 242.50

Answer:

Step-by-step explanation:

      Atsu  :  Sabu

         3     :     7

         x     :    x + 20

x is equal to the number of cedis

cross multiply the ratio above

3(x+20) = 7x

3x + (20×3) = 7x

3x + 60 = 7x

3x - 3x + 60 = 7x - 3x                  (put - 3x on both sides of the equation)

60 = 4x

60/4 = 4x/4                                (divide both sides by 4)

15 = x

She would make $477 during a 7-day week

The given parameters are

There are 5 days in a weekday and 2 in a weekend

So, the total earning is

Total = Rate * [Weekday hours * 5 + Weekend hours * 2]

This gives

Total = $13.25 * [4 * 5 + 8 * 2]

Evaluate

Total = $477

Hence, she would make $477 during a 7-day week

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Answer:

predict the impact of removing snakes from this food web

The width of the rectangle is determined as: B. 16 m.

The perimeter of a rectangle = 2(l + w)

Given the parameters:

Perimeter of rectangle = 88 meters

Width of the rectangle = w meters

Length = 2w - 4 meters

Plug in the values into the perimeter formula of a rectangle

2(2w - 4 + w) = 88

2(3w - 4) = 88

6w - 8 = 88

6w = 88 + 8

6w = 96

6w/6 = 96/6

w = 16

Thus, the width of the rectangle is determined as: B. 16 m.

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Answer: 239,306 total registered doctors

Step-by-step explanation:

1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).

[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]

2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).

[tex]41400*100 = 17.3x[/tex]

3. Simplify

        [tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]

The driver B has the fastest typical race time.

It is required to find which driver's race times were the most variable.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given 3.96  seconds  for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

Therefore, the driver B has the fastest typical race time.

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The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:

Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

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The correct question is given below:

To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?

(A) $5 per hour

(B) $2.50 per hour

(C) $2 per hour

(D) $7.50 per hour

Answer:

4 inches.

Step-by-step explanation:

Since the shape is a square, each side length will be the same. This mean that you must find the square root of 36 to find the length of each side of the new square.

√36=6

Each side of the new square is 6. It says it was lengthened by 2 inches. Subtract 2 from 6.

6-2=4

Each side of the original square is 4 inches.

Hope this helps!

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Step-by-step explanation:

it grows exponentially.

a negative exponent like

n^-a

means only

1/(n^a)

-3 1/3³ = 1/27

-2 1/3² = 1/9

-1 1/3¹ = 1/3

0 3⁰ = 1

1 3¹ = 3

2 3² = 9

3 3³ = 27

so, 3^x comes from very small but positive values, and grows very fast (much faster than x itself and with ever increasing speed hence "exponentially") to very large and still positive numbers.

Answer:

69

Step-by-step explanation:

45*69+1895=5000

Answer:

h = 69

Step-by-step explanation:

45h + 1895 = 5000 ( subtract 1895 from both sides )

45h = 3105 ( divide both sides by 45 )

h = 69

You can add and subtract radicals by ensuring that they have same radical parts.

It should be noted that a radical expression is an expression that contains the radical symbol which is ✓.

The necessary steps to add or subtract radicals include:

Identify the radical parts.

Add them together.

If there's unlike radical parts, one will manipulate the parts involved before solving.

Example: Add ✓63 + 5✓7

It should be noted that ✓63 = ✓9 × ✓7 = 3✓7

Therefore, ✓63 + 5✓7 will be:

= 3✓7 + 5✓7

= 8✓7.

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I need some help since I don't comprehend what you're asking.

1. A(x) = (f(x)-f(a)) / (x-a) This average rate of change function is called A. The function f's input is represented by x minus a, while the function f's response to the input changing from a to x is represented by f(x) minus f(a).

f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 from the table.

Over the range of x = 5 to x = 9, the average rate of change is 4.

2. g(x)=2x2+13x+1, f(x)=4x2+6x

(f/g)(x)=(4x²+6x)/(2x²+13x+1)

Using the numbers shown in the table, x = 4,5,6,7,8,9 and f(x) = 88,85,155,116,180,151,238.190,304,233,378.280

3. f(x)=x2-6x+8, g(x)=x-2, x2-6x-x+8+2=0, x2-7x+10=0 f(x)=g(x)x2-6x+8=x-2x2-6x-x+8+2=0

x₁,₂=(7⁺₋√(7²-4*10))/2=(7⁺₋3)/2 x₁=5, x₂=2

Because 2 doesn't appear in the table of values, the answer using the table of values is x=5.

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It's been a while but I think binomial. There are two nonzero terms, -4a3b5, and 3a2, making it a binomial.

The answer is 12 cubic feet